An explicit construction of the free Poisson algebra with a Rota-Baxter operator is given.
Shestakov, Quantization of Poisson superalgebras and the specialty of Jordan superalgebras of Poisson type Algebra Logic (5)32(1993), 571–584
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Free Poisson Rota-Baxter algebra
An explicit construction of the free Poisson algebra with a Rota-Baxter operator is given.